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Differential equations intro

Differentiate each solution on the right to match it with the differential equation it solves on the left.
Differential equation
Solution
  • y′=4yy'=4y
  • y′=x−yy'=x-y
  • y′=xyy'=\dfrac xy
  • y=ce−x+x−1y=ce^{-x}+x-1
  • y=ce4xy=ce^{4x}
  • y=x2+Cy=\sqrt{x^2+C}